A radar installation that is used to track airplanes transmits electromagnetic radiation with a wavelength of 4 cm. Calculate the frequency of this radiation in Hz.
λ=c/f,
f=c/λ=3•10^8/0.04 =7.5•10^9 Hz.
s=v•t
t=s/v=s/c= 8000/3•10^8 =2.66•10^-5 s.
To calculate the frequency of electromagnetic radiation, we can use the formula:
Frequency = Speed of Light / Wavelength
The speed of light is approximately 3 × 10^8 meters per second (m/s).
First, we need to convert the wavelength from centimeters to meters. Since there are 100 centimeters in 1 meter, we can convert the wavelength by dividing it by 100:
Wavelength in meters = 4 cm / 100 = 0.04 meters
Now, we can substitute the values into the formula:
Frequency = (3 × 10^8 m/s) / (0.04 m)
Frequency = 7.5 × 10^9 Hz
Therefore, the frequency of the radar's electromagnetic radiation is 7.5 × 10^9 Hz.